Search a number
-
+
5487900973440 = 273517168134221
BaseRepresentation
bin100111111011100000001…
…1000110101100110000000
3201102122020020212121101220
41033313000120311212000
51204403210122122230
615401035031355040
71104326205415554
oct117670030654600
921378206777356
105487900973440
111826451037256
12747712b22a80
1330a6786b7b12
1414d889b71864
1597b46072d10
hex4fdc0635980

5487900973440 has 128 divisors (see below), whose sum is σ = 18521665895520. Its totient is φ = 1377355530240.

The previous prime is 5487900973417. The next prime is 5487900973459. The reversal of 5487900973440 is 443790097845.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84034471 + ... + 84099750.

Almost surely, 25487900973440 is an apocalyptic number.

It is an amenable number.

5487900973440 is an abundant number, since it is smaller than the sum of its proper divisors (13033764922080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5487900973440 is a wasteful number, since it uses less digits than its factorization.

5487900973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168134260 (or 168134248 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 5487900973440 in words is "five trillion, four hundred eighty-seven billion, nine hundred million, nine hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 168134221 336268442 504402663 672536884 840671105 1008805326 1345073768 1681342210 2017610652 2522013315 2690147536 2858281757 3362684420 4035221304 5044026630 5380295072 5716563514 6725368840 8070442608 8574845271 10088053260 10760590144 11433127028 13450737680 14291408785 16140885216 17149690542 20176106520 21521180288 22866254056 26901475360 28582817570 32281770432 34299381084 40352213040 42874226355 45732508112 53802950720 57165635140 64563540864 68598762168 80704426080 85748452710 91465016224 107605901440 114331270280 137197524336 161408852160 171496905420 182930032448 228662540560 274395048672 322817704320 342993810840 365860064896 457325081120 548790097344 685987621680 914650162240 1097580194688 1371975243360 1829300324480 2743950486720 5487900973440